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Formula:8158

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Digital Library of Mathematical Functions ID 24.6.E1

B 2 ⁢ n = ∑ k = 2 2 ⁢ n + 1 ( - 1 ) k - 1 k ⁢ ( 2 ⁢ n + 1 k ) ⁢ ∑ j = 1 k - 1 j 2 ⁢ n , Bernoulli-number-B 2 𝑛 superscript subscript 𝑘 2 2 𝑛 1 superscript 1 𝑘 1 𝑘 binomial 2 𝑛 1 𝑘 superscript subscript 𝑗 1 𝑘 1 superscript 𝑗 2 𝑛 {\displaystyle{\displaystyle B_{2n}=\sum_{k=2}^{2n+1}\frac{(-1)^{k-1}}{k}{2n+1% \choose k}\sum_{j=1}^{k-1}j^{2n},}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  •  Edit this on Wikidata

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